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Finding the Third Proportional to 217,487.63 and 332,731.69

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Solution

The third proportional to 217,487.63 and 332,731.69 is: 509,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,487.63 : 332,731.69 = 332,731.69 : x
  2. Step 2: Convert to fraction form
    217,487.63/332,731.69 = 332,731.69/x
  3. Step 3: Cross multiply
    217,487.63x = 332,731.69 × 332,731.69
  4. Step 4: Simplify right side
    217,487.63x = 110,710,375,866.60
  5. Step 5: Solve for x
    x = 110,710,375,866.60/217,487.63
  6. Step 6: Final answer
    x = 509,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.